Structure-Preserving Numerical Schemes for a Time-Fractional Porous Medium Equation with Nonlocal Pressure

Łukasz Płociniczak, Hubert Woszczek

In this work, we study numerical approximations of the equation \begin{equation} \partial_t^αu-\nabla\cdot\left(u^{m-1}\nabla(-Δ)^{-σ}u\right)=0, \end{equation} where $0<\alpha <1$, $0<σ…